106071572005505 has 8 divisors (see below), whose sum is σ = 127310191552872. Its totient is φ = 84841054173568.

The previous prime is 106071572005433. The next prime is 106071572005519. The reversal of 106071572005505 is 505500275170601.

It can be written as a sum of positive squares in 4 ways, for example, as 57719742217201 + 48351829788304 = 7597351^2 + 6953548^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106071572005505 - 2¹⁴ = 106071571989121 is a prime.

It is a super-2 number, since 2×106071572005505² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2025400052 + ... + 2025452421.

It is an arithmetic number, because the mean of its divisors is an integer number (15913773944109).

Almost surely, 2^{106071572005505} is an apocalyptic number.

It is an amenable number.

106071572005505 is a deficient number, since it is larger than the sum of its proper divisors (21238619547367).

106071572005505 is an equidigital number, since it uses as much as digits as its factorization.

106071572005505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050857715.

The product of its (nonzero) digits is 367500, while the sum is 44.

The spelling of 106071572005505 in words is "one hundred six trillion, seventy-one billion, five hundred seventy-two million, five thousand, five hundred five".